CLC number: O174.2

Compact Commutators of Bilinear Fractional Integral Operators on Generalized Morrey Spaces

双线性分数次积分的交换子在广义Morrey空间上的紧性

School of Information Engineering, Sanming University, Sanming 365004, Fujian, China

Received: 10 April 2025

Abstract

This paper considers compactness of the commutator $[b,I_{\alpha }{]}_i(i=\mathrm{1,2})$, where $I_{\alpha }$ is a bilinear fractional integral operator, and $b$ is a function in generalized Campanato spaces with variable growth condition. The author gives sufficient conditions for the compactness of $[b,I_{\alpha }{]}_i(i=\mathrm{1,2})$ from the product of generalized Morrey spaces to generalized Morrey spaces.

摘要

本文研究双线性分数次积分算子与带变量增长条件的广义Campanato空间函数b生成的交换子 $[b,I_{\alpha }{]}_i(i=\mathrm{1,2})$在广义Morrey空间的紧性。给出了$[b,I_{\alpha }{]}_i(i=\mathrm{1,2})$从广义Morrey空间的乘积空间到广义Morrey空间紧性的充分条件。